Search a number
-
+
495249683712 = 28371723235607
BaseRepresentation
bin1110011010011110010…
…11100111010100000000
31202100022210122122100020
413031033023213110000
531103232404334322
61015303051253440
750531514565620
oct7151713472400
91670283578306
10495249683712
11181041598573
127bb9614a280
1337917c50934
1419d82398880
15cd38a9c05c
hex734f2e7500

495249683712 has 288 divisors, whose sum is σ = 1664349990912. Its totient is φ = 127385567232.

The previous prime is 495249683699. The next prime is 495249683723. The reversal of 495249683712 is 217386942594.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1984213 + ... + 2219819.

It is an arithmetic number, because the mean of its divisors is an integer number (5778993024).

Almost surely, 2495249683712 is an apocalyptic number.

495249683712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495249683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832174995456).

495249683712 is an abundant number, since it is smaller than the sum of its proper divisors (1169100307200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495249683712 is a wasteful number, since it uses less digits than its factorization.

495249683712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235673 (or 235659 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 495249683712 in words is "four hundred ninety-five billion, two hundred forty-nine million, six hundred eighty-three thousand, seven hundred twelve".